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Heuristic Inference and the Left-Right

An Experimental Analysis of How Voters Form Their Left-Right Images of Parties

Published online by Cambridge University Press:  26 June 2026

Seonghui Lee
Affiliation:
University of Essex
Lie Philip Santoso
Affiliation:
Duke Kunshan University
Randolph Stevenson
Affiliation:
Rice University

Summary

How do voters form left–right images of political parties? This Element applies the theoretical framework of ecologically rational heuristic inference to synthesize insights from the extensive literature on the meaning of left and right in politics. It proposes several hypotheses about cues that voters with varying levels of political sophistication use to infer parties' left–right positions. These expectations are tested through seven conjoint and factorial survey experiments in Germany, Denmark, Canada, and the UK. Findings show that many voters develop sensible left–right perceptions of parties by relying on small sets of highly predictive cues. However, voters differ in how they interpret these cues. Less politically sophisticated voters tend to infer party positions mainly from partisan signals, whereas more sophisticated voters rely on a broader range of indicators, including party policies, ideological values, and social group support. This title is also available as Open Access on Cambridge Core.

Information

Figure 0

Figure 1 Distribution of perceived cooperation among German parties in 2019Note: Vertical lines indicate average cooperation scores.

Figure 1

Figure 2 Difference in average left-right self-placement of group vs. non-group membersNote: Negative (positive) differences indicate the average group member’s LR self-placement is to the left (right) of the average non-member. “Young” denotes those under 35; “old,” those over 54. Bars indicate 95% confidence intervals.

Figure 2

Table 1 Interactive predictions from the theory: On which kinds of cues within a cue category should voters put the most weight?Table 1 long description.

Figure 3

Figure 3 Annotated example of party profile shown to British respondents

Figure 4

Table 2 Policy attribute statementsTable 2 long description.

Figure 5

Figure 4 The impact of party’s policy positions on left-right placement

Figure 6

Figure 5 The distribution of perceived left-right positions of German partiesNote: Vertical line indicates the average left-right position.

Figure 7

Figure 6 Comparing the effects of party policy positions using two independent samples from pilot and main studiesNote: X-axis indicates the AMCEs from the pilot study and y-axis indicates the AMCEs from the main study.

Figure 8

Figure 7 Relationship between the saliency of a given policy and its effect size in the conjoint experimentNote: We used the average number of “Don’t Know” responses for a given policy as our proxy for the (lack of) salience for that item on the x-axis. Dashed lines are regression fitted lines.

Figure 9

Figure 8 Relationship between party polarization on a policy issue and that issue’s impact on LR placementsNote: CPC indicates how distinct and homogenous respondents’ beliefs are about party positions on a policy. Higher values indicate clearer differences between parties and greater agreement among respondents.

Figure 10

Table 3 Accounting for heterogeneity in the AMCEs for different policy cuesTable 3 long description.

Figure 11

Figure 9 The impact of aggregated policy cues by level of political sophisticationNote: The labelling of the x-axis reflects the percentage of respondents less sophisticated than the most sophisticated one in each estimation window. Dark points are AMCEs, with grey shaded 95% CIs. Each estimate (and associated confidence interval) is based on all trials from a moving window of 200 respondents, where respondents are ordered from least to most politically sophisticated. As there are few ties in sophistication scores, each window shifts by adding the next most sophisticated respondent than everyone, replacing the least sophisticated one. Importantly, each estimate uses the 200 most sophisticated respondents below the indicated label, not all respondents below the indicated label. Vertical lines mark the sophistication level where the AMCE becomes statistically different from 0 (solid), 0.5 (dash), and 1.0 (short dash).

Figure 12

Table 4 Values attribute statementsTable 4 long description.

Figure 13

Figure 10 The impact of value cues on left-right placement

Figure 14

Figure 11 Relationship between the saliency of a value and the value’s impact on LR placementsNote: We used the average number of “Don’t Know” responses for a given value as our proxy for the (lack of) salience for that item on the x-axis. Dashed lines are regression fitted lines in each country.

Figure 15

Figure 12 Relationship between perceived party polarization on a value and the impact of the policy on LR party placementsNote: CPC indicates how distinct and homogenous respondents’ beliefs are about party positions on a policy. Higher values indicate clearer differences between parties and greater agreement among respondents.

Figure 16

Figure 13 The impact of aggregated values cues by level of political sophisticationNote: Dark points indicate AMCEs, with grey shaded 95% CIs. Each point is estimated based on a moving window of 200 respondents, where respondents are ordered from least to most politically sophisticated. Vertical lines mark the sophistication level where the AMCE becomes statistically different from 0 (solid), 0.5 (dash), 1.0 (short dash), and 1.5 (dot). See Figure 9 note for details.

Figure 17

Table 5 Party cooperation and conflict attribute statements in GermanyTable 5 long description.

Figure 18

Figure 14 The effect of partisan cooperation and conflict conditional on the perceived left-right position of the target party (UK)Note: The histogram in each panel shows the distribution of respondents’ LR placements for the indicated target party. Point estimates are conditional AMCEs for respondents who placed the target party at the specific location on the left-right scale. The “Avg” on the far right of each panel represents the weighted average of these conditional AMCEs. Vertical lines indicate 95% CIs. The left y-axis shows the size of the (conditional and weighted) AMCEs; the right y-axis shows the percentages of respondents.

Figure 19

Figure 15 Average effects of cooperation with a given target party on left-right placement of a new partyNote: The AMCEs represent the difference in the average left-right placement of a new party between respondents who received the information that the party often cooperated vs seldom cooperated with the indicated target party. Positive estimates indicate a rightward shift; negative estimates, a leftward shift. The x-axis indicates AMCEs; horizontal lines show 95% CIs. See OA 3.4 for full party names.

Figure 20

Figure 16 Comparing the effects of party cooperation and conflicts using two independent samples from pilot and main studiesNote: X-axis indicates the AMCEs from the pilot study and y-axis indicates the AMCEs from the main study.

Figure 21

Figure 17 Relationship between perceived ideological purity in patterns of partisan cooperation and the impact of cooperation cues on LR placementsNote: The slopes of these regression lines are ‒0.031, 1.35, 1.15, and 0.95 for Canada, Denmark, Germany, and the UK, respectively; all statistically significant at the 95% level except Canada.

Figure 22

Figure 18 The impact of aggregated cooperation cues by level of political sophisticationNote: Dark points indicate AMCEs, with grey shaded 95% CIs. Each point is estimated based on a moving window of 200 respondents, where respondents are ordered from least to most politically sophisticated. Vertical lines mark the sophistication level where the AMCE becomes statistically different from 0 (solid), 0.5 (dash), 1.0 (short dash), and 1.5 (dot). See Figure 9 note for details.

Figure 23

Table 6 Social group support attribute statementsTable 6 long description.

Figure 24

Figure 19 The impact of social group support on left-right placements of parties

Figure 25

Figure 20 Comparing the effects of social group support using two independent samples from pilot and main studiesNote: X-axis indicates the AMCEs from the pilot study and y-axis indicates the AMCEs from the main study.

Figure 26

Figure 21 Relationship between the difference in the average left-right distance between the members and non-members of a social group and the impact of that group’s support on LR placements

Figure 27

Figure 22 The impact of aggregated social group cues by level of political sophisticationNote: Dark points indicate AMCEs, with grey shaded 95% CIs. Each point is estimated based on a moving window of 200 respondents, where respondents are ordered from least to most politically sophisticated. See Figure 9 note for details.

Figure 28

Table 7 Comparing weights across cue categoriesTable 7 long description.

Figure 29

Figure 23 Comparing the impact of political sophistication on different attribute categoriesNote: Each line simplifies the earlier figure by omitting confidence intervals for clarity. These lines are combined to enable direct comparison of AMCEs across different categories within countries.

Figure 30

Figure 24 Proportion of AMCE attributable to each cue categoryNote: The figure shows each cue category’s proportional contribution to the AMCE across different levels of political sophistication. Each color corresponds to a cue category, with larger segments indicating a greater share of the AMCE explained by that cue. Dashed vertical lines mark where the model’s R2 reaches 0.025, 0.05, and 0.10, respectively.

Figure 31

Table 8 Comparison of estimates from the parallel observational and experimental designsTable 8 long description.

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